Answer:
Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]
Step-by-step explanation:
Equation of line t : y = -2x + 9.
We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)
The equation must be in slope-intercept form.
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding Slope:
If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]
Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)
Slope of line u: [tex]\frac{1}{2}[/tex]
So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]
Finding y-intercept:
Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept
[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]
Equation of line u:
So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:
[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]
So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]
Solve the system by substitution.
3r + y = 5
5x – 4y = -3
The solution is?
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
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AEDc0
9:28 AM
116/2021
1
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need
1 When y= 35, x = 22. If the value of y
varies directly with x, what is the value of y
when the value of x is 3 ?
A 113 C 227
B 26 13 D 45 1
Answer:
Step-by-step explanation:
22/35
5 + 11y + 9 what is the answer
Answer: 11y+14
Step-by-step explanation:
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.
Triangle TSR is similar to Triangle TNM
Which statement below is true?
Answer:
[tex]\overline{SR}\sim \overline{NM}[/tex]
Step-by-step explanation:
In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.
Work out volume of this sphere leave your answer in terms of pi
Answer:
36pi
Step-by-step explanation:
Volume formula = 4/3 × pi × r^3
Expand.
(x^2)(x^2-6)
Answer:
This can be expanded to x⁴ - 6x²
Step-by-step explanation:
[tex]x^2(x^2 - 6)\\= x^4 - 6x^2[/tex]
Answer:
If by expanding you mean solving, you answer is x^4−6x²
Step-by-step explanation:
x²(x²-6)
(x²)(x²-6)
(x²)(x²)+(x²)(-6)
x^4-6x²
Can someone pls help me with this??
Answer:
[tex] - 0.75k + - 2[/tex]
Step-by-step explanation:
[tex]0.25 k- 1k[/tex]
[tex]1.5 - 3.5[/tex]
first you will combined 0.25 K - k and you will get -0.75
then combine 1.5-3.5 and get -2
Help plz:)))I’ll mark u Brainliest
Answer:
I think yes because it doesn't really matter how long the sides are as long as its 180°
Step-by-step explanation:
I actually hope this is right and that it helped!
Answer:
yes because it doesn't really matter how long the sides are as long as its 180°
Step-by-step explanation:
Identify each point as a solution of the system or not a solution of the system.
7 6 5 3 2
23
4 5
6
7
-1
5
(0,4)
(-2,4)
(0,5)
Answer:
I think it is ether-1 or o,5
Answer:
Did you got the answers for this whole I need them please
Tennis balls are stored in a cylindrical container with height 21 centimeters and diameter 7 centimeters. Three tennis balls fit in one container.
a. Find the volume of the container.
b. Find the volume of a tennis ball.
c. Find the percentage of the container taken up by the tennis balls.
Solution :
Given that :
Height of the cylinder, h = 21 cm
Diameter of the cylinder, d = 7 cm
Radius = 3.5 cm
Number of balls fits in the cylindrical container = 3
a). The volume of the container is given by
[tex]$V = \pi r^2 h$[/tex]
= 3.14 x 3.5 x 3.5 x 21
= 807.76 cm cube
b). Volume of each tennis ball is given by :
[tex]$V=\frac{4}{3}\pi r^3 $[/tex]
[tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]
= 179.50 cm cube
c). Volume of three tennis balls = 3 x 179.50
= 538.50 cm cube
Therefore, percentage of the container taken up by the three tennis ball is :
[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]
= 50 %
18 = 0.29 so 20 = ???
Answer:
x=29/90 or 0.3222222
Step-by-step explanation:
ok, rewrite the question as a ratio
18/0.29=20/x, cross multiply
18x=.29*20, evaluate x
18x=5.8
x=29/90 or 0.3222222
29
Step-by-step explanation:
29/90
10 x 1/10 brainliest if answer not 1
Answer:
10/10
Step-by-step explanation:
find the equation of the line that is perpendicular to y=-2/3x and contains the point (4 -8)
Answer:
y = 3/2x + -14
Step-by-step explanation:
y = -2/3 x
has a slope of -2/3
We want a line perpendicular
Take the negative reciprocal to find the slope
- (1 / -2/3)
3/2
The slope of a line perpendicular is 3/2
Using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 3/2x +b
Substitute a point into the equation
-8 = 3/2(4) +b
-8= 6+b
Subtract 6 from each side
-8-6 = b
y = 3/2x + -14
Please also explain how you did it! Thank you
Answer:
66 degrees
Step-by-step explanation:
360 degrees in a circle
102 and 144 make up the circumference of LPN
LMN however is still to be determined... which is 360-(102+144) = 114
Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.
To find angle LPN (180-114) = 66
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Answer: A
Step-by-step explanation:
4.1
Georgia’s gross pay was $35,600 this year. She is to pay a federal income tax of 16%. How much should Georgia pay in federal income tax this year? Round to the nearest dollar.
Answer:
C on Edg
Step-by-step explanation:
<3
The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.
Step-by-step explanation:
lenght = x + 8
width = x
[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]
then
Lenght = x + 8 = 20 + 8 = 28
Width = x = 20
Step-by-step explanation:
L=8+2W
P=2L+2W
P=2(8+2W)+2W
P=16+4W+2W
P=16+6W
P=96
96=16-6W
80=6W
W=13.3333
Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3
Answer:
3+5=5+3
Step-by-step explanation:
a+b=b+a
comunitive property
Answer:
3+5 = 5+3
Step-by-step explanation:
Communative Property states that the numbers on which we operate (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.
TWENTY POINTS!!! PLEASE HELP!!!
Find Greatest Common Factor:
33x^5y^7-99x^6y^9-66x^5y^8
Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075
Answer:
D.) 0.075
Step-by-step explanation:
help pls I really need it
PLS HELP ASAP THIS IS DUE TODAY SOON I NEED ANSWERS FOR BOTH THE PROBLEMS CAN U WORK THEM OUT FOR ME PLS
the prime factorization of 140 is 2^2 x 5 x 7
the prime factorization of 80 is 2^3 x 5 x 2
HELP! whoever gets it right gets brainliest!
Answer:
The answer is B
Step-by-step explanation:
Answer is B
Answer:
The answer is B
Step-by-step explanation:
BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER
What is the equation for proportions? What does each letter represent?
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Step-by-step explanation:
look at the attachment.
8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determine
the number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.
Answer:
10h=200
h=20
Step-by-step explanation:
10h=200
10h/10=200/10
h=20
Multiply the number of hours worked (h) by earnings per hour $10 to get
10h
This needs to be more than ( Greater than) 200
Now you have 10h > 200
Solve for h by dividing both sides by 10:
h >20
This means she needs to work more than 20 hours this week.
If a 200-mile trip takes 4 hours to com- plete, the average speed is
A. 30 miles per hour.
B. 40 miles per hour.
C. 50 miles per hour.
D. 60 miles per hour.
Answer:
Step-by-step explanation:
if you need 4 h to complete a trip of 200 miles
200/4=50 miles/hour